Why does it only take 23 people in a room to have a 50/50 chance of a shared birthday? It feels intuitive that you would need 183 people (half of 365), but intuition fails when exponential growth is involved.

Link to video here: https://youtu.be/TRPenRtbHSI?si=THZYIpaJFabBZpyB

#Math #Mathematics #Probability #Paradox #Manim #MathVisualized

Why 23 People = 50% Chance? The Birthday Paradox Visualized

YouTube
🎉✨ Great news, folks! Some brave soul has single-handedly re-invented the wheel by porting #Manim to #TypeScript — because who doesn't want their mathematical animations tangled in more #JavaScript spaghetti? 🍝😅 Now you can enjoy your #3b1B content with all the glitchy charm of a browser experience! 🚀🤦‍♂️
https://github.com/maloyan/manim-web #Animation #Spaghetti #HackerNews #ngated
GitHub - maloyan/manim-web: Mathematical animations for the web — Manim in TypeScript

Mathematical animations for the web — Manim in TypeScript - maloyan/manim-web

GitHub

I ported Manim to TypeScript (run 3b1B math animations in the browser)

https://github.com/maloyan/manim-web

#HackerNews #Manim #TypeScript #MathAnimations #Browser #JavaScript #OpenSource

GitHub - maloyan/manim-web: Mathematical animations for the web — Manim in TypeScript

Mathematical animations for the web — Manim in TypeScript - maloyan/manim-web

GitHub

Parrondo's Paradox: How combining two LOSING games actually makes you WIN

Link: https://youtu.be/H-AKNPb5wmw?si=qcg-CYJvEhnTEG9K

#ParrondosParadox#MathVisualized#GameTheory#Manim#Probability #Mathematics

Why This Losing Strategy Actually Wins? Parrondo's Paradox

YouTube

I made an animation to show the intuition behind Prince Rupert's Cube using Manim library.

Link: https://youtu.be/75Bvw3o9Dac?si=OnEM_z-GTlB1BQ5D

#Math #Mathstodon #Geometry #Manim #Python #MathAnimation #VisualMath #SciComm #Mathematics

The Geometrically Impossible Hole (Prince Rupert's Cube)

YouTube

I asked an AI (please forgive me, but it did actually save me a lot of time researching), what the largest #Discord communities are, for #OpenSource projects.

I generally dislike AI, but dislike Discord even worse, BTW.

I figured it might be realistic to appeal to these communities' sense of OpenSource values (taking advantage of recent controversy, and shift in sentiment against Discord), to migrate to, say, a #Flarum forum (or #XMPP, etc) instead:

Top 20 Open Source Projects on Discord (by Members)

| Rank | Project | Members | Description |
|------|---------|---------|-------------|
| 1 | #RPCS3 | 481,000 | Open source PlayStation 3 emulator |
| 2 | #OBS Community | 244,000 | Open source streaming/recording software |
| 3 | #Reactiflux | 222,000 | #React, Redux, GraphQL community |
| 4 | #HomeAssistant | 126,000 | Open source home automation platform |
| 5 | #Vue Land (Vue.js) | 122,000 | Vue.js frontend framework community |
| 6 | #osu! | 106,000 | Open source rhythm game |
| 7 | #Electron | 81,000 | Open source desktop app framework |
| 8 | #Godot Engine | 64,000 | Open source game engine |
| 9 | #Rust Community | 66,000 | Rust programming language |
| 10 | #NestJS | 52,000 | Node.js framework |
| 11 | #TypeScript Community | 51,000 | TypeScript language |
| 12 | #Laravel | 39,000 | PHP framework |
| 13 | #Tailwind CSS | 37,000 | CSS framework |
| 14 | #Flutter | 61,000 | Google's UI toolkit |
| 15 | #Deno | 17,000 | JavaScript runtime |
| 16 | #Manim | 17,000 | Mathematical animation engine |
| 17 | #JetBrains | 40,000 | IntelliJ platform community |
| 18 | #Sentry | 35,000 | Error monitoring platform |
| 19 | #Quasar | 28,000 | Vue.js framework |
| 20 | #LibreNMS | 20,000 | Network monitoring system |

Key observations:

- RPCS3 (PS3 #emulator) is the largest with nearly half a million members
- OBS Studio is the largest productivity/tool open source project
- Game emulators and game engines have massive communities
- #JavaScript/TypeScript frameworks (React, Vue, NestJS) have very active communities
- Home automation (Home Assistant) has a huge community due to DIY enthusiast adoption

Note: These numbers fluctuate constantly as members join and leave. Data gathered from Discord server listings in early 2025.

Mathematical Tools | One minute One shot

YouTube

ИИ (Генеративное) видео без галлюцинаций: пишем CLI-конвейер на Python (Qwen + Manim)

ИИ видео не подходят для инженерных задач, так как работают с пикселями и часто «галлюцинируют», искажая математическую логику и текст. Решение проблемы — разделить процесс: LLM должна генерировать не видео, а код (инструкции), а исполнять его должен детерминированный движок (библиотека Manim). Чтобы исключить программные ошибки, применяется цикл Self-Correction: скрипт автоматически скармливает трейсбэки обратно нейросети, заставляя её исправлять код до тех пор, пока он не скомпилируется в математически точную анимацию.

https://habr.com/ru/articles/993630/

#manim #python #python3 #python_для_начинающих #qwen #генерация_видео

ИИ (Генеративное) видео без галлюцинаций: пишем CLI-конвейер на Python (Qwen + Manim)

Что мы научимся делать: 1. Введение. Почему пиксели врут, а код — нет Визуализировать технические концепции — боль. Рисовать схемы в PowerPoint долго, а кодить анимации в Manim вручную — это часы...

Хабр

And here are the individual terms (not summed). The colors are still related to those in the previous toot, but I mixed in a little bit of black to ensure a reasonable amount of contrast with the white background.

On the left: each monomial of the decomposition.
On the right: same, but divided by the exponential function again.

#manim #MadeWithManim #mathematics #math #dataviz